Ranges and inversion formulas for the Dunkl intertwining operator and its dual

DOI10.1080/10652460500105750zbMath1100.42007OpenAlexW2072038082MaRDI QIDQ5478737

Fethi Soltani

Publication date: 13 July 2006

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460500105750

zbMATH Keywords

inversionDunkl intertwining operatorfractional Dunkl Laplacian

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fractional derivatives and integrals (26A33)

Cites Work

• Unnamed Item
• Asymptotic formulas for the dual Radon transform and applications
• Generalized Hermite polynomials and the heat equation for Dunkl operators
• The Dunkl transform
• The Calogero-Sutherland model and generalized classical polynomials
• \(L^{p}\)-Fourier multipliers for the Dunkl operator on the real line.
• Generalized Fock spaces and Weyl commutation relations for the Dunkl kernel.
• Ranges and inversion formulas for spherical mean operator and its dual
• Exact operator solution of the Calogero-Sutherland model
• Positivity of Dunkl's intertwining operator
• Integral Kernels with Reflection Group Invariance
• The dunkel intertwining operator on spaces of functions and distributions and integral representation of its dual
• Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
• A positive radial product formula for the Dunkl kernel
• Inversion formulas in the Dunkl-type heat conduction on

This page was built for publication: Ranges and inversion formulas for the Dunkl intertwining operator and its dual